00:01
Hi there, so for this problem, we are given this table of information, which models an oven beaten heated and by an increased differential function age of the times t, where the times t is in minutes.
00:21
So with that said, we need to use the data in the table to estimate the instant planning rate at which the temperature of the oven is changing, at the time equals to 6.
00:33
So what we need to determine is the rate of change of age evaluated at 6.
00:42
Now, what we can do is to use the values that are adjacent to this time.
00:49
As you can see, 4 and 8 are the values that are proximate to 6.
00:57
6, in fact, is the middle point between these values.
01:02
So with that said, what we need to do is to evaluate that function at the final value, which is at 8, and this minus this function of the temperature evaluated at 4.
01:17
And this divided by the interval of time, which in this case is 8 minus 4...